The Division Problem under Constraints
Bergantiños, Gustavo (Universidade de Vigo)
Massó, Jordi (Universitat Autònoma de Barcelona)
Neme, Alejandro (Universidad Nacional de San Luis)

Date:	2015
Abstract:	The division problem under constraints consists of allocating a given amount of an homogeneous and perfectly divisible good among a subset of agents with single-peaked preferences on an exogenously given interval of feasible allotments. We characterize axiomatically the family of extended uniform rules proposed to solve the division problem under constraints. Rules in this family extend the uniform rule used to solve the classical division problem without constraints. We show that the family of all extended uniform rules coincides with the set of rules satisfying efficiency, strategy-proofness, equal treatment of equals, bound monotonicity, consistency, and independence of irrelevant coalitions.
Grants:	Ministerio de Ciencia e Innovación ECO2008-03484-C02-01 Ministerio de Ciencia e Innovación ECO2011-23460 Ministerio de Economía y Competitividad SEV-2011-0075 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-419
Note:	The work of G. Bergantiños is partially supported by research grants ECO2008-03484-C02-01 and ECO2011-23460 from the Spanish Ministry of Science and Innovation and FEDER. J. Massó acknowledges financial support from the Spanish Ministry of Economy and Competitiveness, through the Severo Ochoa Programme for Centres of Excellence in R&D (SEV-2011-0075) and through grant ECO2008-0475-FEDER (Grupo Consolidado-C), and from the Generalitat de Catalunya, through the prize "ICREA Academia" for excellence in research and grant SGR2009-419. The work of A. Neme is partially supported by the Universidad Nacional de San Luis, through grant 319502, and by the Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), through grant PIP 112-200801-00655.
Note:	Altres ajuts: FEDER/ECO2008-0475
Note:	Altres ajuts: UNSL/319502
Note:	Altres ajuts: CONICET/PIP112-200801-00655
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió sotmesa a revisió
Subject:	Division problem ; Single-peaked preferences
Published in:	Games and economic behavior, Vol. 89 (2015) , p. 56-77, ISSN 0899-8256

DOI: 10.1016/j.geb.2014.12.002

Preprint 40 p, 301.1 KB

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